Question

Use algebra tiles to solve 5n + 2 = 3n + 8. (Do this on paper. Your instructor may ask you to turn in this work.) Show the corresponding algebraic representation. 5n + 2 = 3n + 8

5n + 2 − 2 = 3n + 8 −___

5n = 3n + ___

5n − 3n = 3n + 6 − __n

2n =__

2n ÷ 2 = 6 ÷ n =___

Answer 1

n=3.

Explanation:

5n+2=3n+8

We substract 2 in both sides to cancelate the 2 in left:

5n+2-2=3n+8-2

5n=3n+6

We substract 3n in both sides to cancelate the 3n in right:

5n-3n=3n+6-3n

2n=6

Finally, we divide by 2 in both sides to clear n:

2n/2 = 6/2

n=3.